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Finding the Fourth Proportional to 119,146.56, 164,381.14 and 76,151.21

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Solution

The fourth proportional to 119,146.56, 164,381.14 and 76,151.21 is: 105,062.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,146.56 : 164,381.14 = 76,151.21 : x
  2. Step 2: Convert to fraction form
    119,146.56/164,381.14 = 76,151.21/x
  3. Step 3: Cross multiply
    119,146.56x = 164,381.14 × 76,151.21
  4. Step 4: Simplify right side
    119,146.56x = 12,517,822,331.42
  5. Step 5: Solve for x
    x = 12,517,822,331.42/119,146.56
  6. Step 6: Final answer
    x = 105,062.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.